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Perfect Groups


Author : Derek F. Holt
language : en
Publisher: Oxford University Press, USA
Release Date : 1989


Download Perfect Groups written by Derek F. Holt and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


Here is a unique guide devoted exclusively to a new and innovative area of mathematical study. The volume, prepared by internationally known experts in computational group theory, provides a systematic source of examples of finite perfect groups. Approaching the subject from both a theoretical and practical standpoint, this book includes discussion of the classification of finite perfect groups of small order and the use of infinite perfect groups to construct infinite sequences of finite perfect groups. These discussions will also provide informative material on subgraphs and asymptotic behavior. The second part of this valuable reference, which can be utilized independently or as part of a unified whole, gives the reader two sets of tables which provide fast access to most perfect groups of order up to one million, as well as low-dimensional perfect (crystallographic) space groups.

Characters And Automorphism Groups Of Compact Riemann Surfaces


Author : Thomas Breuer
language : en
Publisher: Cambridge University Press
Release Date : 2000-09-21


Download Characters And Automorphism Groups Of Compact Riemann Surfaces written by Thomas Breuer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Mathematics categories.


Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

New Horizons In Pro P Groups


Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-25


Download New Horizons In Pro P Groups written by Marcus du Sautoy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-25 with Mathematics categories.


A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

Invitations To Geometry And Topology


Author : Martin R. Bridson
language : en
Publisher: Oxford University Press on Demand
Release Date : 2002


Download Invitations To Geometry And Topology written by Martin R. Bridson and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation. The editors, M.R. Bridson and S.M. Salamon, have each written an article and are accompanied by A.J. Berrick; M.C. Crabb and A.J.B Potter; M. Eastwood and J. Sawon; M.A. Guest; N.J. Hitchin and J.Seade.

Algebraic Groups And Their Representations


Author : R.W. Carter
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-08-31


Download Algebraic Groups And Their Representations written by R.W. Carter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-31 with Mathematics categories.


This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleshchev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Seitz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbacher discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank. Audience: The book contains accounts of many recent advances and will interest research workers and students in the theory of algebraic groups and related areas of mathematics.

Abelian Groups Rings Modules And Homological Algebra


Author : Pat Goeters
language : en
Publisher: CRC Press
Release Date : 2016-04-19


Download Abelian Groups Rings Modules And Homological Algebra written by Pat Goeters and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.


About the book... In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the participants of these talks along with contributions from other veteran researchers who were unable to attend. These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory. Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. This volume is an outstanding addition to the literature and a valuable handbook for beginning as well as seasoned researchers in Algebra. about the editors... H. PAT GOETERS completed his undergraduate studies in mathematics and computer science at Southern Connecticut State University and received his Ph.D. in 1984 from the University of Connecticut under the supervision of William J. Wickless. After spending one year in a post-doctoral position in Wesleyan University under the tutelage of James D. Reid, Goeters was invited for a tenure track position in Auburn University by Ulrich F. Albrecht. Soon afterwards, William Ullery and Overtoun Jenda were hired, and so began a lively Algebra group. OVERTOUN M. G. JENDA received his bachelor's degree in Mathematics from Chancellor College, the University of Malawi. He moved to the U.S. 1977 to pursue graduate studies at University of Kentucky, earning his Ph.D. in 1981 under the supervision of Professor Edgar Enochs. He then returned to Chancellor College, where he was a lecturer (assistant professor) for three years. He moved to the University of Botswana for another three-year stint as a lecturer before moving back to the University of Kentucky as a visiting assistant professor in 1987. In 1988, he joined the Algebra research group at Auburn University.

The Theory Of Groups


Author : Hans J. Zassenhaus
language : en
Publisher: Courier Corporation
Release Date : 2013-09-16


Download The Theory Of Groups written by Hans J. Zassenhaus and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-16 with Mathematics categories.


Well-written graduate-level text acquaints reader with group-theoretic methods and demonstrates their usefulness in mathematics. Axioms, the calculus of complexes, homomorphic mapping, p-group theory, more. Many proofs shorter and more transparent than older ones.